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# BinaryInteger Implementations

## Topics

### Operators

[`static func != <Other>(Self, Other) -> Bool`](/documentation/Swift/UInt/!=(_:_:)-4jpi0)

Returns a Boolean value indicating whether the two given values are not
equal.

[`static func & (UInt, UInt) -> UInt`](/documentation/Swift/UInt/&(_:_:))

Returns the result of performing a bitwise AND operation on the two given
values.

[`static func & (Self, Self) -> Self`](/documentation/Swift/UInt/&(_:_:)-1gv93)

Returns the result of performing a bitwise AND operation on the two given
values.

[`static func * (UInt, UInt) -> UInt`](/documentation/Swift/UInt/*(_:_:))

Multiplies two values and produces their product.

[`static func + (UInt, UInt) -> UInt`](/documentation/Swift/UInt/+(_:_:))

Adds two values and produces their sum.

[`static func - (UInt, UInt) -> UInt`](/documentation/Swift/UInt/-(_:_:))

Subtracts one value from another and produces their difference.

[`static func == <Other>(Self, Other) -> Bool`](/documentation/Swift/UInt/==(_:_:)-1zalq)

Returns a Boolean value indicating whether the two given values are
equal.

[`static func | (Self, Self) -> Self`](/documentation/Swift/UInt/_(_:_:)-1e0ey)

Returns the result of performing a bitwise OR operation on the two given
values.

[`static func / (UInt, UInt) -> UInt`](/documentation/Swift/UInt/_(_:_:)-1w9sv)

Returns the quotient of dividing the first value by the second.

[`static func ^ (Self, Self) -> Self`](/documentation/Swift/UInt/_(_:_:)-2yuuu)

Returns the result of performing a bitwise XOR operation on the two given
values.

[`static func < <Other>(Self, Other) -> Bool`](/documentation/Swift/UInt/_(_:_:)-3r6zk)

Returns a Boolean value indicating whether the value of the first
argument is less than that of the second argument.

[`static func > (Self, Self) -> Bool`](/documentation/Swift/UInt/_(_:_:)-4e53m)

[`static func % (UInt, UInt) -> UInt`](/documentation/Swift/UInt/_(_:_:)-5hyxb)

Returns the remainder of dividing the first value by the second.

[`static func | (UInt, UInt) -> UInt`](/documentation/Swift/UInt/_(_:_:)-70g4r)

Returns the result of performing a bitwise OR operation on the two given
values.

[`static func > <Other>(Self, Other) -> Bool`](/documentation/Swift/UInt/_(_:_:)-7d589)

Returns a Boolean value indicating whether the value of the first
argument is greater than that of the second argument.

[`static func ^ (UInt, UInt) -> UInt`](/documentation/Swift/UInt/_(_:_:)-e9z4)

Returns the result of performing a bitwise XOR operation on the two given
values.

[`static func <= (Self, Self) -> Bool`](/documentation/Swift/UInt/_=(_:_:)-6cfcm)

[`static func >= (Self, Self) -> Bool`](/documentation/Swift/UInt/_=(_:_:)-7tms1)

[`static func >= <Other>(Self, Other) -> Bool`](/documentation/Swift/UInt/_=(_:_:)-7v58u)

Returns a Boolean value indicating whether the value of the first
argument is greater than or equal to that of the second argument.

[`static func <= <Other>(Self, Other) -> Bool`](/documentation/Swift/UInt/_=(_:_:)-yeqy)

Returns a Boolean value indicating whether the value of the first
argument is less than or equal to that of the second argument.

[`static func << <RHS>(Self, RHS) -> Self`](/documentation/Swift/UInt/__(_:_:)-2xfje)

Returns the result of shifting a value’s binary representation the
specified number of digits to the left.

[`static func << <Other>(Self, Other) -> Self`](/documentation/Swift/UInt/__(_:_:)-60q9j)

Returns the result of shifting a value’s binary representation the
specified number of digits to the left.

[`static func >> <Other>(Self, Other) -> Self`](/documentation/Swift/UInt/__(_:_:)-635q0)

Returns the result of shifting a value’s binary representation the
specified number of digits to the right.

[`static func >> <RHS>(Self, RHS) -> Self`](/documentation/Swift/UInt/__(_:_:)-97tkd)

Returns the result of shifting a value’s binary representation the
specified number of digits to the right.

[`static func <<= <Other>(inout Self, Other)`](/documentation/Swift/UInt/__=(_:_:)-66xfr)

Stores the result of shifting a value’s binary representation the
specified number of digits to the left in the left-hand-side variable.

[`static func >>= <Other>(inout Self, Other)`](/documentation/Swift/UInt/__=(_:_:)-9p0cx)

Stores the result of shifting a value’s binary representation the
specified number of digits to the right in the left-hand-side variable.

[`static func ~ (Self) -> Self`](/documentation/Swift/UInt/~(_:))

Returns the inverse of the bits set in the argument.

### Initializers

[`init()`](/documentation/Swift/UInt/init())

Creates a new value equal to zero.

[`init<Other>(clamping: Other)`](/documentation/Swift/UInt/init(clamping:))

Creates a new instance with the representable value that’s closest to the
given integer.

[`init<T>(truncatingIfNeeded: T)`](/documentation/Swift/UInt/init(truncatingIfNeeded:))

Creates a new instance from the bit pattern of the given instance by
sign-extending or truncating to fit this type.

### Instance Properties

[`var bitWidth: Int`](/documentation/Swift/UInt/bitWidth-swift.property)

The number of bits in the current binary representation of this value.

[`var description: String`](/documentation/Swift/UInt/description)

A textual representation of this value.

### Instance Methods

[`func advanced(by: Int) -> Self`](/documentation/Swift/UInt/advanced(by:))

Returns a value that is offset the specified distance from this value.

[`func distance(to: Self) -> Int`](/documentation/Swift/UInt/distance(to:))

Returns the distance from this value to the given value, expressed as a
stride.

[`func isMultiple(of: Self) -> Bool`](/documentation/Swift/UInt/isMultiple(of:))

Returns `true` if this value is a multiple of the given value, and `false`
otherwise.

[`func quotientAndRemainder(dividingBy: Self) -> (quotient: Self, remainder: Self)`](/documentation/Swift/UInt/quotientAndRemainder(dividingBy:))

Returns the quotient and remainder of this value divided by the given
value.

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